Finite Group Databasebeta

← #29482498

Subgroups — #29482498

Order 15104.

1860 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21438690C211yesmaximal, characteristic, complemented
2#21438034C211yesmaximal, characteristic, complemented
3#21437155C211yesmaximal, characteristic, complemented
4#21437107C211yesmaximal, characteristic, complemented
5#21436852C211yesmaximal, characteristic, complemented
6#21436748C211yesmaximal, characteristic, complemented
7#21436396C211yesmaximal, characteristic, complemented
8#21436361C211yesmaximal, characteristic, complemented
9#21436344C211yesmaximal, characteristic, complemented
10#21436219C211yesmaximal, characteristic, complemented
11#21436063C211yesmaximal, characteristic, complemented
12#21435952C211yesmaximal, characteristic, complemented
13#21435810C211yesmaximal, characteristic, complemented
14#21435711C211yesmaximal, characteristic, complemented
15#21435704C211yesmaximal, characteristic, complemented
16#21435704C211yesmaximal, characteristic, complemented
17#21435618C211yesmaximal, characteristic, complemented
18#21435586C211yesmaximal, characteristic, complemented
19#21435511C211yesmaximal, characteristic, complemented
20#21435496C211yesmaximal, characteristic, complemented
21#21435204C211yesmaximal, characteristic, complemented
22#21435140C211yesmaximal, characteristic, complemented
23#21435071C211yesmaximal, characteristic, complemented
24#21434341C211yesmaximal, characteristic, complemented
25#21434304C211yesmaximal, characteristic, complemented
26#21434148C211yesmaximal, characteristic, complemented
27#21433637C211yesmaximal, characteristic, complemented
28#21433603C211yesmaximal, characteristic, complemented
29#21433561C211yesmaximal, characteristic, complemented
30#21433243C211yesmaximal, characteristic, complemented
31C59×#3260C211yesmaximal, characteristic, complemented
32C2×#14273755C2211yescharacteristic
33C2×#14273754C2211yescharacteristic
34C2×#14273754C2211yescharacteristic
35C2×#14273754C2211yescharacteristic, complemented
36C2×#14273749C2211yescharacteristic
37C2×SD16×D59C2211yescharacteristic, complemented
38#16838150—21no—
39#16838143—21no—
40#16838138C2211yescharacteristic, complemented
41#16838137C2211yescharacteristic, complemented
42#16838124C2211yescharacteristic, complemented
43#16838108C2211yescharacteristic, complemented
44#16838105—21no—
45#16838104C2211yescharacteristic
46#16838099—21no—
47#16838090C2211yescharacteristic, complemented
48#16838080—21no—
49#16838077—21no—
50#16838075—21no—
51#16838074C2211yescharacteristic
52#16838064C2211yescharacteristic
53#16838062C2211yescharacteristic, complemented
54#16838054C2211yescharacteristic, complemented
55#16838052C2211yescharacteristic
56#16838049C2211yescharacteristic
57#16838049C2211yescharacteristic
58#16838043C2211yescharacteristic, complemented
59#16838043C2211yescharacteristic, complemented
60#16838041—21no—
61#16838037C2211yescharacteristic, complemented
62#16838017C2211yescharacteristic, complemented
63#16838008—21no—
64#16838008C2211yescharacteristic, complemented
65#16838000—21no—
66#16837995—21no—
67#16837991—21no—
68#16837991—21no—
69#16837984—21no—
70#16837977C2211yescharacteristic, complemented
71#16837971C2211yescharacteristic, complemented
72#16837953C2211yescharacteristic, complemented
73#16837937C2211yescharacteristic, complemented
74#16837934C2211yescharacteristic, complemented
75#16837930C2211yescharacteristic
76#16837912—21no—
77#123×D59—21no—
78#16837882C2211yescharacteristic
79#16837874C2211yescharacteristic, complemented
80C4×D4×D59C2211yescharacteristic, complemented
81#16837793C2211yescharacteristic, complemented
82#16837789C2211yescharacteristic
83#16837783C2211yescharacteristic, complemented
84#16837783C2211yescharacteristic, complemented
85#16837783C2211yescharacteristic, complemented
86#16837778C2211yescharacteristic
87#16837768C2211yescharacteristic, complemented
88#16837763C2211yescharacteristic, complemented
89#16837759C2211yescharacteristic, complemented
90#16837758C2211yescharacteristic, complemented
91#16837758C2211yescharacteristic, complemented
92#16837751C2211yescharacteristic, complemented
93#16837739C2211yescharacteristic, complemented
94#16837735C2211yescharacteristic, complemented
95#16837730C2211yescharacteristic, complemented
96#16837729C2211yescharacteristic, complemented
97#16837728C2211yescharacteristic, complemented
98#16837722C2211yescharacteristic, complemented
99#16837708C2211yescharacteristic, complemented
100#16837706C2211yescharacteristic, complemented
101#16837701C2211yescharacteristic, complemented
102#16837699C2211yescharacteristic, complemented
103#16837691C2211yescharacteristic, complemented
104#16837681C2211yescharacteristic, complemented
105#16837661C2211yescharacteristic, complemented
106#16837654C2211yescharacteristic
107#16837654C2211yescharacteristic, complemented
108#16837649C2211yescharacteristic, complemented
109#16837649C2211yescharacteristic, complemented
110#16837647C2211yescharacteristic, complemented
111#16837637C2211yescharacteristic
112#16837632C2211yescharacteristic, complemented
113#16837625C2211yescharacteristic, complemented
114#16837625C2211yescharacteristic, complemented
115#16837623C2211yescharacteristic, complemented
116#16837620C2211yescharacteristic
117#16837620C2211yescharacteristic
118#16837620C2211yescharacteristic, complemented
119#16837619C2211yescharacteristic, complemented
120#16837619C2211yescharacteristic, complemented
121#16837619C2211yescharacteristic, complemented
122#16837618C2211yescharacteristic
123#16837618C2211yescharacteristic
124#16837617C2211yescharacteristic, complemented
125#16837617C2211yescharacteristic, complemented
126#16837616C2211yescharacteristic, complemented
127#16837616C2211yescharacteristic, complemented
128#16837616C2211yescharacteristic, complemented
129#16837609C2211yescharacteristic, complemented
130#16837606C2211yescharacteristic, complemented
131#16837605C2211yescharacteristic, complemented
132#16837604C2211yescharacteristic, complemented
133#16837603C2211yescharacteristic, complemented
134#16837603C2211yescharacteristic, complemented
135#16837598C2211yescharacteristic
136#16837598C2211yescharacteristic
137#16837597C2211yescharacteristic, complemented
138#16837597C2211yescharacteristic, complemented
139#16837567C2211yescharacteristic, complemented
140#16837567C2211yescharacteristic, complemented
141#16837567C2211yescharacteristic, complemented
142#16837562C2211yescharacteristic
143#16837562C2211yescharacteristic
144#16837559C2211yescharacteristic, complemented
145#16837554C2211yescharacteristic, complemented
146#16837546C2211yescharacteristic
147#16837546C2211yescharacteristic
148#16837546C2211yescharacteristic, complemented
149#16837545C2211yescharacteristic, complemented
150#16837545C2211yescharacteristic, complemented
151#16837539C2211yescharacteristic, complemented
152#16837537C2211yescharacteristic
153#16837537C2211yescharacteristic
154#16837537C2211yescharacteristic, complemented
155#16837535C2211yescharacteristic, complemented
156#16837535C2211yescharacteristic, complemented
157#16837531C2211yescharacteristic, complemented
158#16837526C2211yescharacteristic, complemented
159#16837513C2211yescharacteristic, complemented
160#16837511C2211yescharacteristic, complemented
161#16837507C2211yescharacteristic, complemented
162#16837500C2211yescharacteristic, complemented
163C4×#11745672C2211yescharacteristic, complemented
164#16837493C2211yescharacteristic, complemented
165C4×#11745671C2211yescharacteristic, complemented
166#16837489C2211yescharacteristic, complemented
167#16837484C2211yescharacteristic
168#16837484C2211yescharacteristic
169#16837482C2211yescharacteristic, complemented
170#16837482C2211yescharacteristic, complemented
171#16837479C2211yescharacteristic, complemented
172#16837478C2211yescharacteristic, complemented
173#16837478C2211yescharacteristic, complemented
174#16837473C2211yescharacteristic, complemented
175#16837472C2211yescharacteristic, complemented
176C8×C22⋊D59C2211yescharacteristic, complemented
177#16837463C2211yescharacteristic, complemented
178#16837462C2211yescharacteristic, complemented
179#16837454C2211yescharacteristic, complemented
180#16837427C2211yescharacteristic, complemented
181#16837424C2211yescharacteristic, complemented
182#16837409C2211yescharacteristic, complemented
183#16837404C2211yescharacteristic, complemented
184#16837402C2211yescharacteristic, complemented
185#16837402C2211yescharacteristic, complemented
186#16837397C2211yescharacteristic, complemented
187C2×#14273649C2211yescharacteristic, complemented
188C59×#541C2211yescharacteristic, complemented
189C59×#540C2211yescharacteristic
190C59×#479C2211yescharacteristic, complemented
191C59×#479C2211yescharacteristic, complemented
192C59×#478C2211yescharacteristic, complemented
193C59×#478C2211yescharacteristic, complemented
194C59×#468C2211yescharacteristic, complemented
195C59×#468C2211yescharacteristic, complemented
196C59×#465C2211yescharacteristic, complemented
197C59×#465C2211yescharacteristic, complemented
198C59×#461C2211yescharacteristic, complemented
199C59×#461C2211yescharacteristic, complemented
200C59×#460C2211yescharacteristic, complemented
201C59×#460C2211yescharacteristic, complemented
202C59×#424C2211yescharacteristic, complemented
203C2×#11745689C2311yescharacteristic
204C2×#11745689C2311yescharacteristic
205C2×#11745689C2311yescharacteristic
206C2×#11745685C2311yescharacteristic
207C2×#11745685C2311yescharacteristic
208C2×#11745687—21no—
209C2×Q8×D59C2311yescharacteristic
210C22×D236C2311yescharacteristic
211C2×D4×D59—21no—
212C2×D4×D59C2311yescharacteristic
213C2×D4×D59C2311yescharacteristic
214C22×C4×D59—21no—
215#14273755—42no—
216#14273754—42no—
217#14273754—42no—
218#14273754—42no—
219#14273749—42no—
220C2×Dic236C2311yescharacteristic
221C2×#11745672C2311yescharacteristic
222C2×#11745672C2311yescharacteristic
223C2×#11745660C2311yescharacteristic
224C2×#11745660C2311yescharacteristic
225C2×#11745660C2311yescharacteristic
226C2×#11745660C2311yescharacteristic
227C2×#11745670C2311yescharacteristic
228C2×#11745670C2311yescharacteristic
229C2×#11745671C2311yescharacteristic
230C2×#11745671C2311yescharacteristic
231SD16×D59—42no—
232C2×D472C2311yescharacteristic
233C2×D472C2311yescharacteristic
234C2×D472C2311yescharacteristic
235C2×#11745669C2311yescharacteristic
236C2×#11745669C2311yescharacteristic
237C2×#11745669C2311yescharacteristic
238C2×#11745669C2311yescharacteristic
239C2×#11745669C2311yescharacteristic
240C2×#11745669C2311yescharacteristic
241C2×#11745659C2311yescharacteristic
242C2×#11745659C2311yescharacteristic
243C2×#11745659C2311yescharacteristic
244C2×C8×D59C2311yescharacteristic
245#14273726C2311yescharacteristic
246#14273725C2311yescharacteristic
247#14273724—21no—
248#14273724C2311yescharacteristic
249#14273724C2311yescharacteristic
250#14273722—21no—
251#14273722—21no—
252#14273722—21no—
253#14273722D411yescharacteristic
254#14273721—21no—
255#14273720—21no—
256#14273720—21no—
257#14273720—21no—
258#14273720D411yescharacteristic
259#14273718—21no—
260#14273718C2311yescharacteristic
261#14273717D411yescharacteristic
262#14273716C2311yescharacteristic
263#14273716C2311yescharacteristic
264#14273716C2311yescharacteristic
265#14273715—21no—
266#14273715—21no—
267#14273715C2311yescharacteristic
268#14273715C2311yescharacteristic
269#14273714—21no—
270#14273714C2311yescharacteristic
271#14273714C2311yescharacteristic
272#14273713—21no—
273#14273713—21no—
274#14273713D411yescharacteristic
275#14273712—21no—
276#14273712—21no—
277#14273712—21no—
278#14273712—21no—
279#14273712—21no—
280#14273712—21no—
281#14273712—21no—
282#14273712—21no—
283#14273712—21no—
284#14273712—21no—
285#14273712—21no—
286#14273712D411yescharacteristic
287#14273711—21no—
288#14273710—21no—
289#14273709—21no—
290#14273709—21no—
291#14273709—21no—
292#14273709—21no—
293#14273709—21no—
294#14273709D411yescharacteristic
295#14273708—21no—
296#14273708—21no—
297#14273708—21no—
298#14273707—21no—
299#14273707—21no—
300#14273707C2311yescharacteristic
301#14273707C2311yescharacteristic
302#14273707C2311yescharacteristic
303#14273706—21no—
304#14273705—21no—
305#14273705—21no—
306#14273705—21no—
307#14273705—21no—
308#14273705—21no—
309#14273705—21no—
310#14273705D411yescharacteristic
311#14273704—21no—
312#14273702—21no—
313#14273702—21no—
314#14273702—21no—
315#14273702—21no—
316#14273702—21no—
317#14273702—21no—
318#14273702—21no—
319#14273702—21no—
320#14273702—21no—
321#14273702—21no—
322#14273702—21no—
323#14273702C2311yescharacteristic
324#14273702C2311yescharacteristic
325#14273702C2311yescharacteristic
326#14273700—21no—
327#14273700—21no—
328#14273700D411yescharacteristic
329#14273699—21no—
330#14273698—21no—
331#14273698—21no—
332#14273698—21no—
333#14273698C2311yescharacteristic
334#14273698C2311yescharacteristic
335#14273697—21no—
336#14273697—21no—
337#14273697—21no—
338#14273697—21no—
339#14273695—21no—
340#14273695—21no—
341#14273695—21no—
342#14273695—21no—
343C4×Dic118C2311yescharacteristic
344C4×Dic118C2311yescharacteristic
345C4×Dic118C2311yescharacteristic
346#14273692C2311yescharacteristic
347C4×D236—21no—
348C4×D236—21no—
349C4×D236—21no—
350C4×D236C2311yescharacteristic
351C4×D236C2311yescharacteristic
352C4×D236C2311yescharacteristic
353D4×Dic59—21no—
354D4×Dic59—21no—
355D4×Dic59C2311yescharacteristic
356D4×Dic59C2311yescharacteristic
357#14273689—21no—
358#14273689—21no—
359#14273689—21no—
360#14273689—21no—
361#14273689C2311yescharacteristic
362#14273689C2311yescharacteristic
363#14273689C2311yescharacteristic
364#14273689C2311yescharacteristic
365#14273689C2311yescharacteristic
366C4×C22⋊D59—21no—
367C4×C22⋊D59—21no—
368C4×C22⋊D59—21no—
369C4×C22⋊D59C2311yescharacteristic
370C4×C22⋊D59C2311yescharacteristic
371(C22⋊D59)⋊C4—21no—
372(C22⋊D59)⋊C4—21no—
373(C22⋊D59)⋊C4—21no—
374(C22⋊D59)⋊C4—21no—
375#14273686—21no—
376#14273685—21no—
377#14273685—21no—
378#14273685—21no—
379#14273685C2311yescharacteristic
380#14273684—21no—
381#14273684C2311yescharacteristic
382C2×C4⋊Dic59C2311yescharacteristic
383C4⋊C4×D59—21no—
384C4⋊C4×D59—21no—
385C4⋊C4×D59—21no—
386C4⋊C4×D59C2311yescharacteristic
387C2×(C2×D59)⋊C4—21no—
388C22⋊C4×D59—21no—
389C22⋊C4×D59—21no—
390C22⋊C4×D59—21no—
391C22⋊C4×D59—21no—
392C22⋊C4×D59—21no—
393C22⋊C4×D59—21no—
394C42×D59C2311yescharacteristic
395#14273660C2311yescharacteristic
396#14273660C2311yescharacteristic
397#14273658C2311yescharacteristic
398#14273658C2311yescharacteristic
399C4⋊(C59⋊C8)C2311yescharacteristic
400C4⋊(C59⋊C8)C2311yescharacteristic
401Dic59⋊C8C2311yescharacteristic
402Dic59⋊C8C2311yescharacteristic
403Dic59⋊C8C2311yescharacteristic
404Dic59⋊C8C2311yescharacteristic
405#14273652C2311yescharacteristic
406#14273652C2311yescharacteristic
407#14273651C2311yescharacteristic
408#14273651C2311yescharacteristic
409#14273651C2311yescharacteristic
410#14273651C2311yescharacteristic
411#14273650C2311yescharacteristic
412#14273650C2311yescharacteristic
413#14273650C2311yescharacteristic
414#14273650C2311yescharacteristic
415#14273649C2311yescharacteristic
416#14273649C2311yescharacteristic
417#14273649C2311yescharacteristic
418#14273649C2311yescharacteristic
419#14273649C2311yescharacteristic
420#14273649C2311yescharacteristic
421#14273647C2311yescharacteristic
422#14273647C2311yescharacteristic
423#14273647C2311yescharacteristic
424#14273647C2311yescharacteristic
425#14273647C2311yescharacteristic
426#14273647C2311yescharacteristic
427#14273647C2311yescharacteristic
428#14273647C2311yescharacteristic
429C22⋊(C59⋊C8)C2311yescharacteristic
430C22⋊(C59⋊C8)C2311yescharacteristic
431(C2×D59)⋊C8C2311yescharacteristic
432(C2×D59)⋊C8C2311yescharacteristic
433(C2×D59)⋊C8C2311yescharacteristic
434(C2×D59)⋊C8C2311yescharacteristic
435#14273638C2311yescharacteristic
436#14273637C2311yescharacteristic
437C4×C59⋊C8C2311yescharacteristic
438C8×Dic59C2311yescharacteristic
439C8×Dic59C2311yescharacteristic
440C8×Dic59C2311yescharacteristic
441C2×SD16×C59C2311yescharacteristic
442C2×SD16×C59C2311yescharacteristic
443C2×SD16×C59C2311yescharacteristic
444C2×SD16×C59C2311yescharacteristic
445C2×M16×C59C2311yescharacteristic
446C22×C8×C59C2311yescharacteristic
447C4⋊Q8×C59C2311yescharacteristic
448#127×C59C2311yescharacteristic
449#126×C59—21no—
450#126×C59—21no—
451#125×C59—21no—
452#125×C59—21no—
453#125×C59C2311yescharacteristic
454#125×C59C2311yescharacteristic
455#123×C59—21no—
456#123×C59—21no—
457C22⋊Q8×C59C2311yescharacteristic
458C22⋊Q8×C59C2311yescharacteristic
459#121×C59—21no—
460#121×C59—21no—
461#121×C59C2311yescharacteristic
462#121×C59C2311yescharacteristic
463C4×Q8×C59C2311yescharacteristic
464C4×Q8×C59C2311yescharacteristic
465C4×D4×C59C2311yescharacteristic
466C4×D4×C59C2311yescharacteristic
467#117×C59C2311yescharacteristic
468#107×C59C2311yescharacteristic
469#107×C59C2311yescharacteristic
470#106×C59C2311yescharacteristic
471#106×C59C2311yescharacteristic
472C4⋊C8×C59C2311yescharacteristic
473C4⋊C8×C59C2311yescharacteristic
474C4⋊C8×C59C2311yescharacteristic
475C4⋊C8×C59C2311yescharacteristic
476#103×C59C2311yescharacteristic
477#103×C59C2311yescharacteristic
478#103×C59C2311yescharacteristic
479#103×C59C2311yescharacteristic
480#102×C59C2311yescharacteristic
481#102×C59C2311yescharacteristic
482#102×C59C2311yescharacteristic
483#102×C59C2311yescharacteristic
484C23×D59—21no—
485C23×D59—21no—
486C23×D59—21no—
487C2×Q8×C59C2411yescharacteristic
488C2×Q8×C59C2411yescharacteristic
489C2×D4×C59—21no—
490C2×D4×C59—21no—
491C2×D4×C59—21no—
492C2×D4×C59—21no—
493C2×D4×C59C2411yescharacteristic
494C2×D4×C59C2411yescharacteristic
495C22×C4×C59—21no—
496C22×C4×C59—21no—
497C22×C4×C59C2411yescharacteristic
498C2×C22⋊D59—21no—
499C2×C22⋊D59—21no—
500C2×C22⋊D59—21no—
501C2×C22⋊D59—21no—
502C2×C22⋊D59—21no—
503C2×C22⋊D59—21no—
504C2×C22⋊D59C2×D411yescharacteristic
505C2×C22⋊D59C2×D411yescharacteristic
506C22×Dic59—21no—
507C22×Dic59—21no—
508C22×Dic59—21no—
509#11745689—41no—
510#11745689—41no—
511#11745689—41no—
512#11745689—41no—
513#11745689—41no—
514#11745689—41no—
515Q8×D59—41no—
516Q8×D59—41no—
517#11745687—82no—
518D4×D59—22no—
519D4×D59—22no—
520D4×D59—41no—
521D4×D59—41no—
522D4×D59—82no—
523#11745685—22no—
524#11745685—41no—
525#11745685—41no—
526#11745685—41no—
527C2×D236—21no—
528C2×D236—21no—
529C2×D236—21no—
530C2×D236—21no—
531C2×D236—21no—
532C2×D236—21no—
533C2×D236—21no—
534C2×D236—21no—
535C2×D236—21no—
536C2×D236—21no—
537C2×D236—21no—
538C2×D236—41no—
539C2×D236—41no—
540C2×D236C2×D411yescharacteristic
541C2×D236C2411yescharacteristic
542C2×D236C2411yescharacteristic
543C2×D236C2411yescharacteristic
544C2×D236C2411yescharacteristic
545C2×C4×D59—21no—
546C2×C4×D59—21no—
547C2×C4×D59—21no—
548C2×C4×D59—21no—
549C2×C4×D59—21no—
550C2×C4×D59—21no—
551C2×C4×D59—21no—
552C2×C4×D59—21no—
553C2×C4×D59—21no—
554C2×C4×D59—21no—
555C2×C4×D59—21no—
556C2×C4×D59—21no—
557C2×C4×D59—21no—
558C2×C4×D59—21no—
559C2×C4×D59—82no—
560C2×C4×D59C2×D411yescharacteristic
561C2×C4×D59C2×D411yescharacteristic
562C2×C4×D59C2411yescharacteristic
563C2×C4×D59C2411yescharacteristic
564C2×Dic118—21no—
565C2×Dic118—21no—
566C2×Dic118C2×D411yescharacteristic
567C2×Dic118C2411yescharacteristic
568C2×Dic118C2411yescharacteristic
569SD16×C59—41no—
570SD16×C59—41no—
571SD16×C59—41no—
572SD16×C59—41no—
573M16×C59—41no—
574C2×C8×C59—41no—
575C2×C8×C59C2411yescharacteristic
576C2×C8×C59C2411yescharacteristic
577C2×C8×C59C2411yescharacteristic
578C2×C8×C59C2411yescharacteristic
579C4⋊C4×C59—21no—
580C4⋊C4×C59—21no—
581C4⋊C4×C59—21no—
582C4⋊C4×C59—21no—
583C4⋊C4×C59—21no—
584C4⋊C4×C59—21no—
585C4⋊C4×C59—21no—
586C4⋊C4×C59—21no—
587C4⋊C4×C59—21no—
588C4⋊C4×C59—21no—
589C4⋊C4×C59C2×D411yescharacteristic
590C4⋊C4×C59C2×D411yescharacteristic
591C4⋊C4×C59C2411yescharacteristic
592C4⋊C4×C59C2411yescharacteristic
593C4⋊C4×C59C2411yescharacteristic
594C4⋊C4×C59C2411yescharacteristic
595C22⋊C4×C59—21no—
596C22⋊C4×C59—21no—
597C22⋊C4×C59—21no—
598C22⋊C4×C59—21no—
599C22⋊C4×C59—21no—
600C22⋊C4×C59—21no—
601C22⋊C4×C59C2×D411yescharacteristic
602C22⋊C4×C59C2×D411yescharacteristic
603C42×C59—21no—
604C42×C59—21no—
605C42×C59C2411yescharacteristic
606C42×C59C2411yescharacteristic
607C22⋊Dic59—21no—
608C22⋊Dic59—21no—
609C22⋊Dic59—21no—
610C22⋊Dic59—21no—
611C22⋊Dic59—21no—
612C22⋊Dic59—21no—
613C22⋊Dic59—21no—
614C22⋊Dic59—21no—
615C22⋊Dic59C2×D411yescharacteristic
616C22⋊Dic59C2×D411yescharacteristic
617#11745672—41no—
618#11745672—41no—
619#11745671—22no—
620#11745671—22no—
621#11745670—41no—
622#11745670—41no—
623#11745669—41no—
624#11745669—41no—
625#11745669—41no—
626#11745669—41no—
627#11745669—41no—
628#11745669—41no—
629(C2×D59)⋊C4—21no—
630(C2×D59)⋊C4—21no—
631(C2×D59)⋊C4—21no—
632(C2×D59)⋊C4—21no—
633(C2×D59)⋊C4—21no—
634(C2×D59)⋊C4—21no—
635(C2×D59)⋊C4—21no—
636(C2×D59)⋊C4—21no—
637(C2×D59)⋊C4—21no—
638(C2×D59)⋊C4—21no—
639(C2×D59)⋊C4—21no—
640(C2×D59)⋊C4—21no—
641(C2×D59)⋊C4—21no—
642(C2×D59)⋊C4—21no—
643(C2×D59)⋊C4—21no—
644(C2×D59)⋊C4—21no—
645(C2×D59)⋊C4—21no—
646(C2×D59)⋊C4—21no—
647(C2×D59)⋊C4—21no—
648(C2×D59)⋊C4—21no—
649(C2×D59)⋊C4—21no—
650(C2×D59)⋊C4—21no—
651(C2×D59)⋊C4—21no—
652(C2×D59)⋊C4—21no—
653(C2×D59)⋊C4C2×D411yescharacteristic
654(C2×D59)⋊C4C2×D411yescharacteristic
655(C2×D59)⋊C4C2×D411yescharacteristic
656(C2×D59)⋊C4C2×D411yescharacteristic
657(C2×D59)⋊C4C2×D411yescharacteristic
658(C2×D59)⋊C4C2×D411yescharacteristic
659C4⋊Dic59—21no—
660C4⋊Dic59—21no—
661C4⋊Dic59—21no—
662C4⋊Dic59—21no—
663C4⋊Dic59—21no—
664C4⋊Dic59C2×D411yescharacteristic
665C4⋊Dic59C2×D411yescharacteristic
666C4⋊Dic59C2411yescharacteristic
667C4⋊Dic59C2411yescharacteristic
668Dic59⋊C4—21no—
669Dic59⋊C4—21no—
670Dic59⋊C4—21no—
671Dic59⋊C4—21no—
672Dic59⋊C4—21no—
673Dic59⋊C4—21no—
674Dic59⋊C4—21no—
675Dic59⋊C4—21no—
676Dic59⋊C4C2×D411yescharacteristic
677Dic59⋊C4C2×D411yescharacteristic
678Dic59⋊C4C2×D411yescharacteristic
679Dic59⋊C4C2×D411yescharacteristic
680Dic59⋊C4C2×D411yescharacteristic
681Dic59⋊C4C2×D411yescharacteristic
682C4×Dic59—21no—
683C4×Dic59—21no—
684C4×Dic59—21no—
685C4×Dic59—21no—
686C4×Dic59C2×D411yescharacteristic
687C4×Dic59C2×D411yescharacteristic
688C4×Dic59C2411yescharacteristic
689C4×Dic59C2411yescharacteristic
690C2×C59⋊C8C2411yescharacteristic
691C2×C59⋊C8C2411yescharacteristic
692C2×C59⋊C8C2411yescharacteristic
693C2×C59⋊C8C2411yescharacteristic
694Dic236—41no—
695D472—22no—
696D472—22no—
697D472—22no—
698#11745660—22no—
699#11745660—41no—
700#11745660—41no—
701#11745660—41no—
702#11745659—41no—
703#11745659—41no—
704#11745659—41no—
705C8×D59—41no—
706C23×C59—21no—
707C23×C59—21no—
708C23×C59C22×D411yescharacteristic
709C22×D59—21no—
710C22×D59—21no—
711C22×D59—21no—
712C22×D59—21no—
713C22×D59—42no—
714C22×D59—42no—
715C22×D59—42no—
716C22×D59—81no—
717C22×D59—81no—
718C22×D59—81no—
719C22×D59—81no—
720C22×D59—81no—
721C22×D59—81no—
722C22×D59C22×D411yescharacteristic
723C22×D59C22×D411yescharacteristic
724Q8×C59—21no—
725Q8×C59—21no—
726Q8×C59—21no—
727Q8×C59—21no—
728D4×C59—21no—
729D4×C59—21no—
730D4×C59—21no—
731D4×C59—21no—
732D4×C59—81no—
733D4×C59—81no—
734D4×C59—81no—
735D4×C59—81no—
736C2×C4×C59—21no—
737C2×C4×C59—21no—
738C2×C4×C59—21no—
739C2×C4×C59—21no—
740C2×C4×C59—21no—
741C2×C4×C59—21no—
742C2×C4×C59—21no—
743C2×C4×C59—21no—
744C2×C4×C59—81no—
745C2×C4×C59—81no—
746C2×C4×C59C22×D411yescharacteristic
747C2×C4×C59C22×D411yescharacteristic
748C2×C4×C59C22×D411yescharacteristic
749C2×C4×C59C22×D411yescharacteristic
750C2×C4×C59C22×D411yescharacteristic
751C2×C4×C59C2511yescharacteristic
752C22⋊D59—41no—
753C22⋊D59—41no—
754C22⋊D59—42no—
755C22⋊D59—42no—
756C22⋊D59—42no—
757C22⋊D59—42no—
758C22⋊D59—81no—
759C22⋊D59—81no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—21no—
764C2×Dic59—81no—
765C2×Dic59—81no—
766C2×Dic59—81no—
767C2×Dic59C22×D411yescharacteristic
768C2×Dic59C22×D411yescharacteristic
769C2×Dic59C22×D411yescharacteristic
770C2×Dic59C22×D411yescharacteristic
771C2×Dic59C22×D411yescharacteristic
772C2×Dic59C22×D411yescharacteristic
773D236—21no—
774D236—21no—
775D236—21no—
776D236—21no—
777D236—21no—
778D236—21no—
779D236—21no—
780D236—41no—
781D236—81no—
782D236—81no—
783D236—81no—
784D236—81no—
785D236—81no—
786D236—81no—
787D236—81no—
788D236—81no—
789D236—81no—
790D236—81no—
791D236—81no—
792D236H(5,𝔽2)12yes—
793C4×D59—21no—
794C4×D59—21no—
795C4×D59—21no—
796C4×D59—21no—
797C4×D59—41no—
798C4×D59—41no—
799C4×D59—42no—
800C4×D59—42no—
801C4×D59—81no—
802C4×D59—81no—
803C4×D59—81no—
804C4×D59—81no—
805C4×D59—81no—
806C4×D59—81no—
807C4×D59—81no—
808C4×D59—81no—
809C4×D59—81no—
810C4×D59—81no—
811C4×D59—81no—
812C4×D59—81no—
813Dic118—21no—
814Dic118—21no—
815Dic118—21no—
816Dic118—21no—
817Dic118—41no—
818Dic118—81no—
819Dic118—81no—
820C8×C59—21no—
821C8×C59—21no—
822C8×C59—21no—
823C8×C59—21no—
824C59⋊C8—21no—
825C59⋊C8—21no—
826C59⋊C8—21no—
827C59⋊C8—21no—
828#62027—591nomaximal, Sylow
829C22×C59—21no—
830C22×C59—21no—
831C22×C59—21no—
832C22×C59—41no—
833C22×C59—41no—
834C22×C59—41no—
835C22×C59—41no—
836C22×C59—41no—
837C22×C59—41no—
838C22×C59C23×D411yescharacteristic
839C2×D59—21no—
840C2×D59—21no—
841C2×D59—21no—
842C2×D59—21no—
843C2×D59—21no—
844C2×D59—21no—
845C2×D59—22no—
846C2×D59—41no—
847C2×D59—41no—
848C2×D59—41no—
849C2×D59—41no—
850C2×D59—41no—
851C2×D59—41no—
852C2×D59—41no—
853C2×D59—41no—
854C2×D59—41no—
855C2×D59—41no—
856C2×D59—41no—
857C2×D59—84no—
858C2×D59—162no—
859C2×D59—162no—
860C4×C59—21no—
861C4×C59—21no—
862C4×C59—21no—
863C4×C59—21no—
864C4×C59—21no—
865C4×C59—41no—
866C4×C59—41no—
867C4×C59—41no—
868C4×C59—41no—
869C4×C59—41no—
870C4×C59—41no—
871C4×C59C2×H(5,𝔽2)11yescharacteristic
872C4×C59#58511yescharacteristic
873Dic59—21no—
874Dic59—21no—
875Dic59—21no—
876Dic59—21no—
877Dic59—21no—
878Dic59—21no—
879Dic59—41no—
880Dic59—41no—
881Dic59—41no—
882Dic59—41no—
883#3562—591no—
884#3513—591no—
885#3401—591no—
886#3396—591no—
887#3370—591no—
888#3360—591no—
889#3330—591no—
890#3327—591no—
891#3326—591no—
892#3317—591no—
893#3306—591no—
894#3297—591no—
895#3282—591no—
896#3274—591no—
897#3273—591no—
898#3273—591no—
899#3267—591no—
900#3265—591no—
901#3260D5911yescharacteristic, complemented
902#3257—591no—
903#3256—591no—
904#3225—591no—
905#3220—591no—
906#3212—591no—
907#3122—591no—
908#3120—591no—
909#3105—591no—
910#3045—591no—
911#3042—591no—
912#3036—591no—
913#2993—591no—
914C2×C59—41no—
915C2×C59—81no—
916C2×C59—81no—
917C2×C59#348811yescharacteristic
918C2×C59#358411yescharacteristic
919C2×C59#358511yescharacteristic
920D59—41no—
921D59—41no—
922D59—42no—
923D59—81no—
924D59—81no—
925D59—81no—
926C2×AGL(1,ℤ/8)—591no—
927C2×AGL(1,ℤ/8)—591no—
928C2×AGL(1,ℤ/8)—591no—
929C2×AGL(1,ℤ/8)—591no—
930C2×#135—591no—
931C22×SD16—591no—
932#562—1181no—
933#560—1181no—
934#559—591no—
935#559—591no—
936#556—591no—
937#554—591no—
938#553—591no—
939#553—1181no—
940#553—1181no—
941#552—591no—
942#551—1181no—
943#551—1181no—
944#551—1181no—
945#550—591no—
946#548—591no—
947#548—591no—
948#547—591no—
949#547—591no—
950#546—591no—
951#546—591no—
952#546—591no—
953#546—591no—
954#546—1181no—
955D42—591no—
956#542—591no—
957#541C2×D5911yescharacteristic, complemented
958#540—591no—
959#540—1181no—
960#540C2×D5911yescharacteristic
961#539—1181no—
962#539—1181no—
963#538—1181no—
964#538—1181no—
965#538—1181no—
966#536—591no—
967#535—591no—
968#532—591no—
969#529—591no—
970#529—591no—
971#529—591no—
972#525—1181no—
973C2×#123—1181no—
974#520—591no—
975#518—591no—
976C2×C4×D4—591no—
977#497—591no—
978#496—591no—
979#495—591no—
980#495—591no—
981#495—591no—
982#493—591no—
983#490—591no—
984#489—591no—
985#488—591no—
986#488—591no—
987#488—591no—
988#487—591no—
989#484—591no—
990#484—591no—
991#483—591no—
992#482—591no—
993#482—591no—
994#481—591no—
995#479—591no—
996#479—591no—
997#479C2×D5911yescharacteristic, complemented
998#479C2×D5911yescharacteristic, complemented
999#478—591no—
1000#478—591no—
1001#478C2×D5911yescharacteristic, complemented
1002#478C2×D5911yescharacteristic, complemented
1003#476—591no—
1004#474—591no—
1005#470—591no—
1006#469—591no—
1007#469—591no—
1008#468—591no—
1009#468—591no—
1010#468—591no—
1011#468C2×D5911yescharacteristic, complemented
1012#468C2×D5911yescharacteristic, complemented
1013#466—591no—
1014#465—591no—
1015#465C2×D5911yescharacteristic, complemented
1016#465C2×D5911yescharacteristic, complemented
1017#464—591no—
1018#464—591no—
1019#464—591no—
1020#463—591no—
1021#463—591no—
1022#463—591no—
1023#463—591no—
1024#463—591no—
1025#463—591no—
1026#463—591no—
1027#463—591no—
1028#463—591no—
1029#463—591no—
1030#463—591no—
1031#463—591no—
1032#463—591no—
1033#462—591no—
1034#461—591no—
1035#461—591no—
1036#461—591no—
1037#461C2×D5911yescharacteristic, complemented
1038#461C2×D5911yescharacteristic, complemented
1039#460—591no—
1040#460—591no—
1041#460C2×D5911yescharacteristic, complemented
1042#460C2×D5911yescharacteristic, complemented
1043#459—591no—
1044#459—591no—
1045#459—591no—
1046#459—591no—
1047#452—591no—
1048#452—591no—
1049#452—591no—
1050#452—591no—
1051#452—591no—
1052#451—591no—
1053#450—591no—
1054#449—591no—
1055#449—591no—
1056#449—591no—
1057#449—591no—
1058#449—591no—
1059#448—591no—
1060#447—591no—
1061#447—591no—
1062#447—591no—
1063#447—591no—
1064#447—591no—
1065#446—591no—
1066C8×Q8—591no—
1067#442—591no—
1068#442—591no—
1069#441—591no—
1070#440—591no—
1071C4×Q16—591no—
1072C4×SD16—591no—
1073C4×SD16—591no—
1074C4×SD16—591no—
1075C4×D8—591no—
1076C4×D8—591no—
1077C4×D8—591no—
1078C4×D8—591no—
1079#436—591no—
1080#436—591no—
1081#436—591no—
1082#435—591no—
1083#435—591no—
1084C8×D4—591no—
1085#433—591no—
1086#433—591no—
1087#431—591no—
1088#424—591no—
1089#424C2×D5911yescharacteristic, complemented
1090#423—591no—
1091#419—591no—
1092#417—591no—
1093#417—591no—
1094#417—591no—
1095#416—591no—
1096C2×#102—591no—
1097C59#6202711yescharacteristic, complemented, Sylow
1098C2×#41—591no—
1099C2×#41—591no—
1100C2×#41—591no—
1101C2×#41—591no—
1102C2×#41—591no—
1103C2×#41—1181no—
1104C22×Q8—591no—
1105C22×D4—591no—
1106C22×D4—591no—
1107C22×D4—591no—
1108C22×D4—1181no—
1109C23×C4—1181no—
1110AGL(1,ℤ/8)—2362no—
1111AGL(1,ℤ/8)—2362no—
1112AGL(1,ℤ/8)—2362no—
1113AGL(1,ℤ/8)—2362no—
1114#135—2362no—
1115C2×Q16—591no—
1116C2×Q16—591no—
1117C2×Q16—591no—
1118C2×SD16—591no—
1119C2×SD16—591no—
1120C2×SD16—591no—
1121C2×SD16—591no—
1122C2×SD16—591no—
1123C2×SD16—591no—
1124C2×SD16—591no—
1125C2×SD16—591no—
1126C2×SD16—2362no—
1127C2×SD16C22×D5911yescharacteristic
1128C2×SD16C22×D5911yescharacteristic
1129C2×SD16C22×D5911yescharacteristic
1130C2×SD16C22×D5911yescharacteristic
1131C2×D8—591no—
1132C2×D8—591no—
1133C2×D8—591no—
1134C2×D8—591no—
1135C2×D8—591no—
1136C2×D8—591no—
1137C2×D8—591no—
1138C2×D8—591no—
1139C2×D8—591no—
1140C2×M16—591no—
1141C2×M16—591no—
1142C2×M16—591no—
1143C2×M16C22×D5911yescharacteristic
1144C22×C8—591no—
1145C22×C8C22×D5911yescharacteristic
1146C4⋊Q8—591no—
1147C4⋊Q8—591no—
1148C4⋊Q8C22×D5911yescharacteristic
1149#127—591no—
1150#127—591no—
1151#127—1181no—
1152#127C22×D5911yescharacteristic
1153#126—21no—
1154#126—21no—
1155#126—591no—
1156#126—591no—
1157#126—1181no—
1158#126—1181no—
1159#126—1181no—
1160#126—1181no—
1161#126—1181no—
1162#126—1181no—
1163#126—1181no—
1164#125—21no—
1165#125—21no—
1166#125—591no—
1167#125—591no—
1168#125—1181no—
1169#125C22×D5911yescharacteristic
1170#125C22×D5911yescharacteristic
1171#124—591no—
1172#124—591no—
1173#124—591no—
1174#124—591no—
1175#124—591no—
1176#124—591no—
1177#124—591no—
1178#124—591no—
1179#124—1181no—
1180#124—1181no—
1181#124—1181no—
1182#124—1181no—
1183#124—1181no—
1184#123—21no—
1185#123—21no—
1186#123—591no—
1187#123—591no—
1188#123—1181no—
1189#123—1181no—
1190#123—1181no—
1191#123—1181no—
1192#123—1181no—
1193#123—1181no—
1194#123—1181no—
1195#123—1181no—
1196#123—1181no—
1197#123—1181no—
1198#123—1181no—
1199#123—1181no—
1200#123—1181no—
1201#123—1181no—
1202#123—1181no—
1203#123—1181no—
1204#123—1181no—
1205#123—1181no—
1206#123—1181no—
1207#123—1181no—
1208#123—1181no—
1209C22⋊Q8—591no—
1210C22⋊Q8—591no—
1211C22⋊Q8—591no—
1212C22⋊Q8—591no—
1213C22⋊Q8—1181no—
1214C22⋊Q8—1181no—
1215C22⋊Q8—1181no—
1216C22⋊Q8—1181no—
1217C22⋊Q8—1181no—
1218C22⋊Q8—1181no—
1219C22⋊Q8—1181no—
1220C22⋊Q8—1181no—
1221C22⋊Q8—1181no—
1222C22⋊Q8—1181no—
1223C22⋊Q8C22×D5911yescharacteristic
1224C22⋊Q8C22×D5911yescharacteristic
1225#121—21no—
1226#121—21no—
1227#121—591no—
1228#121—591no—
1229#121—591no—
1230#121—591no—
1231#121—591no—
1232#121—591no—
1233#121—1181no—
1234#121—1181no—
1235#121—1181no—
1236#121—1181no—
1237#121—1181no—
1238#121—1181no—
1239#121—1181no—
1240#121—1181no—
1241#121—1181no—
1242#121—1181no—
1243#121—1181no—
1244#121—1181no—
1245#121—1181no—
1246#121—1181no—
1247#121—1181no—
1248#121—1181no—
1249#121—1181no—
1250#121C22×D5911yescharacteristic
1251#121C22×D5911yescharacteristic
1252#120—1181no—
1253#120—1181no—
1254#120—1181no—
1255#120—1181no—
1256#120—1181no—
1257#120—1181no—
1258#120—1181no—
1259#120—1181no—
1260C4×Q8—591no—
1261C4×Q8—591no—
1262C4×Q8—591no—
1263C4×Q8—591no—
1264C4×Q8C22×D5911yescharacteristic
1265C4×Q8C22×D5911yescharacteristic
1266C4×D4—591no—
1267C4×D4—591no—
1268C4×D4—591no—
1269C4×D4—591no—
1270C4×D4—591no—
1271C4×D4—591no—
1272C4×D4—591no—
1273C4×D4—591no—
1274C4×D4—591no—
1275C4×D4—591no—
1276C4×D4—591no—
1277C4×D4—591no—
1278C4×D4—1181no—
1279C4×D4—1181no—
1280C4×D4—1181no—
1281C4×D4—1181no—
1282C4×D4—1181no—
1283C4×D4—1181no—
1284C4×D4—1181no—
1285C4×D4—1181no—
1286C4×D4—1181no—
1287C4×D4—1181no—
1288C4×D4—1181no—
1289C4×D4—1181no—
1290C4×D4—1181no—
1291C4×D4—1181no—
1292C4×D4—1181no—
1293C4×D4—1181no—
1294C4×D4C22×D5911yescharacteristic
1295C4×D4C22×D5911yescharacteristic
1296#117—591no—
1297#117—591no—
1298#117—1181no—
1299#117—1181no—
1300#117—1181no—
1301#117—1181no—
1302#117—1181no—
1303#117C22×D5911yescharacteristic
1304C2×C4⋊C4—591no—
1305C2×C4⋊C4—591no—
1306C2×C4⋊C4—1181no—
1307C2×C4⋊C4—1181no—
1308C2×C4⋊C4—1181no—
1309C2×C22⋊C4—1181no—
1310C2×C22⋊C4—1181no—
1311C2×C22⋊C4—1181no—
1312C2×C22⋊C4—1181no—
1313C2×C22⋊C4—1181no—
1314C2×C22⋊C4—1181no—
1315C2×C22⋊C4—1181no—
1316C2×C42—591no—
1317#107—591no—
1318#107—591no—
1319#107C22×D5911yescharacteristic
1320#107C22×D5911yescharacteristic
1321#106—591no—
1322#106—591no—
1323#106C22×D5911yescharacteristic
1324#106C22×D5911yescharacteristic
1325C4⋊C8—591no—
1326C4⋊C8—591no—
1327C4⋊C8—591no—
1328C4⋊C8—591no—
1329C4⋊C8—591no—
1330C4⋊C8—591no—
1331C4⋊C8C22×D5911yescharacteristic
1332C4⋊C8C22×D5911yescharacteristic
1333C4⋊C8C22×D5911yescharacteristic
1334C4⋊C8C22×D5911yescharacteristic
1335#103—591no—
1336#103—591no—
1337#103—591no—
1338#103—591no—
1339#103—591no—
1340#103—591no—
1341#103—591no—
1342#103—591no—
1343#103—591no—
1344#103—591no—
1345#103C22×D5911yescharacteristic
1346#103C22×D5911yescharacteristic
1347#103C22×D5911yescharacteristic
1348#103C22×D5911yescharacteristic
1349#102—591no—
1350#102—591no—
1351#102—591no—
1352#102—591no—
1353#102—591no—
1354#102—591no—
1355#102—591no—
1356#102—591no—
1357#102—591no—
1358#102—591no—
1359#102—591no—
1360#102—591no—
1361#102—591no—
1362#102—591no—
1363#102C22×D5911yescharacteristic
1364#102C22×D5911yescharacteristic
1365#102C22×D5911yescharacteristic
1366#102C22×D5911yescharacteristic
1367C22⋊C8—591no—
1368C22⋊C8—591no—
1369C22⋊C8—591no—
1370C22⋊C8—591no—
1371C22⋊C8—591no—
1372C22⋊C8—591no—
1373#97—591no—
1374#97—591no—
1375C4×C8—591no—
1376C4×C8—591no—
1377C4×C8—591no—
1378C4×C8—591no—
1379C24—1181no—
1380C24—1181no—
1381C24—1181no—
1382#41—1182no—
1383#41—4722no—
1384#41—2361no—
1385#41—2361no—
1386#41—2361no—
1387#41—2361no—
1388#41—2361no—
1389#41—2361no—
1390#41—2361no—
1391#41—2361no—
1392#41—2361no—
1393C2×Q8—591no—
1394C2×Q8—591no—
1395C2×Q8—591no—
1396C2×Q8—1181no—
1397C2×Q8—1181no—
1398C2×Q8—2361no—
1399C2×Q8—2361no—
1400C2×Q8C23×D5911yescharacteristic
1401C2×Q8C23×D5911yescharacteristic
1402C2×D4—21no—
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—21no—
1406C2×D4—591no—
1407C2×D4—591no—
1408C2×D4—591no—
1409C2×D4—591no—
1410C2×D4—591no—
1411C2×D4—591no—
1412C2×D4—591no—
1413C2×D4—1181no—
1414C2×D4—1181no—
1415C2×D4—1181no—
1416C2×D4—1181no—
1417C2×D4—1181no—
1418C2×D4—1181no—
1419C2×D4—1181no—
1420C2×D4—1181no—
1421C2×D4—1182no—
1422C2×D4—1182no—
1423C2×D4—1181no—
1424C2×D4—1181no—
1425C2×D4—1181no—
1426C2×D4—1181no—
1427C2×D4—1181no—
1428C2×D4—1181no—
1429C2×D4—1181no—
1430C2×D4—1181no—
1431C2×D4—1181no—
1432C2×D4—4722no—
1433C2×D4—2361no—
1434C2×D4—2361no—
1435C2×D4—2361no—
1436C2×D4—2361no—
1437C2×D4C23×D5911yescharacteristic
1438C2×D4C23×D5911yescharacteristic
1439C22×C4—21no—
1440C22×C4—21no—
1441C22×C4—591no—
1442C22×C4—591no—
1443C22×C4—591no—
1444C22×C4—591no—
1445C22×C4—1181no—
1446C22×C4—1181no—
1447C22×C4—1181no—
1448C22×C4—1181no—
1449C22×C4—1181no—
1450C22×C4—1181no—
1451C22×C4—1181no—
1452C22×C4—1181no—
1453C22×C4—1181no—
1454C22×C4—1181no—
1455C22×C4—1181no—
1456C22×C4—1181no—
1457C22×C4—1181no—
1458C22×C4—1181no—
1459C22×C4—1181no—
1460C22×C4—1181no—
1461C22×C4—1181no—
1462C22×C4—4722no—
1463C22×C4C23×D5911yescharacteristic
1464Q16—2361no—
1465Q16—2361no—
1466Q16—2361no—
1467SD16—41no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—1182no—
1472SD16—1182no—
1473SD16—1182no—
1474SD16—2361no—
1475SD16—2361no—
1476SD16—2361no—
1477SD16—2361no—
1478SD16—2361no—
1479D8—1182no—
1480D8—1182no—
1481D8—1182no—
1482D8—2361no—
1483D8—2361no—
1484D8—2361no—
1485D8—2361no—
1486D8—2361no—
1487D8—2361no—
1488M16—41no—
1489M16—2361no—
1490M16—2361no—
1491M16—2361no—
1492C2×C8—41no—
1493C2×C8—591no—
1494C2×C8—591no—
1495C2×C8—591no—
1496C2×C8—591no—
1497C2×C8—2361no—
1498C2×C8C23×D5911yescharacteristic
1499C2×C8C23×D5911yescharacteristic
1500C2×C8C23×D5911yescharacteristic
1501C2×C8C23×D5911yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—21no—
1510C4⋊C4—21no—
1511C4⋊C4—21no—
1512C4⋊C4—591no—
1513C4⋊C4—591no—
1514C4⋊C4—591no—
1515C4⋊C4—591no—
1516C4⋊C4—591no—
1517C4⋊C4—591no—
1518C4⋊C4—591no—
1519C4⋊C4—591no—
1520C4⋊C4—591no—
1521C4⋊C4—591no—
1522C4⋊C4—1181no—
1523C4⋊C4—1181no—
1524C4⋊C4—1181no—
1525C4⋊C4—1181no—
1526C4⋊C4—1181no—
1527C4⋊C4—1181no—
1528C4⋊C4—1181no—
1529C4⋊C4—1181no—
1530C4⋊C4—1181no—
1531C4⋊C4—1181no—
1532C4⋊C4—1181no—
1533C4⋊C4—1181no—
1534C4⋊C4—1181no—
1535C4⋊C4D4×D5911yescharacteristic
1536C4⋊C4D4×D5911yescharacteristic
1537C4⋊C4C23×D5911yescharacteristic
1538C4⋊C4C23×D5911yescharacteristic
1539C4⋊C4C23×D5911yescharacteristic
1540C4⋊C4C23×D5911yescharacteristic
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—591no—
1548C22⋊C4—591no—
1549C22⋊C4—591no—
1550C22⋊C4—591no—
1551C22⋊C4—591no—
1552C22⋊C4—591no—
1553C22⋊C4—591no—
1554C22⋊C4—591no—
1555C22⋊C4—1181no—
1556C22⋊C4—1181no—
1557C22⋊C4—1181no—
1558C22⋊C4—1181no—
1559C22⋊C4—1181no—
1560C22⋊C4—1181no—
1561C22⋊C4—1181no—
1562C22⋊C4—1181no—
1563C22⋊C4—1181no—
1564C22⋊C4—1181no—
1565C22⋊C4—1181no—
1566C22⋊C4—1181no—
1567C22⋊C4—1181no—
1568C22⋊C4—1181no—
1569C22⋊C4—1181no—
1570C22⋊C4—1181no—
1571C22⋊C4—1181no—
1572C22⋊C4—1181no—
1573C22⋊C4—1181no—
1574C22⋊C4—1181no—
1575C22⋊C4—1181no—
1576C22⋊C4—1181no—
1577C22⋊C4—1181no—
1578C22⋊C4—1181no—
1579C22⋊C4—1181no—
1580C22⋊C4—1181no—
1581C22⋊C4—1181no—
1582C22⋊C4—1181no—
1583C22⋊C4—1181no—
1584C22⋊C4—1181no—
1585C22⋊C4—1181no—
1586C22⋊C4—1181no—
1587C22⋊C4D4×D5911yescharacteristic
1588C22⋊C4D4×D5911yescharacteristic
1589C42—21no—
1590C42—21no—
1591C42—591no—
1592C42—591no—
1593C42—591no—
1594C42—591no—
1595C42—1181no—
1596C42—1181no—
1597C42—1181no—
1598C42—1181no—
1599C42C23×D5911yescharacteristic
1600C42C23×D5911yescharacteristic
1601C23—21no—
1602C23—21no—
1603C23—591no—
1604C23—591no—
1605C23—1181no—
1606C23—1181no—
1607C23—1181no—
1608C23—1181no—
1609C23—4721no—
1610C23—4721no—
1611C23—4721no—
1612C23—4721no—
1613C23—4721no—
1614C23—4721no—
1615C23—2362no—
1616C23—2362no—
1617C23—2362no—
1618C23C2×D4×D5911yescharacteristic
1619Q8—21no—
1620Q8—21no—
1621Q8—21no—
1622Q8—21no—
1623Q8—1181no—
1624Q8—1181no—
1625Q8—1181no—
1626Q8—1181no—
1627Q8—4721no—
1628Q8—4721no—
1629Q8—2361no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—81no—
1635D4—81no—
1636D4—81no—
1637D4—81no—
1638D4—592no—
1639D4—1181no—
1640D4—1181no—
1641D4—1181no—
1642D4—1181no—
1643D4—1181no—
1644D4—1181no—
1645D4—1181no—
1646D4—4721no—
1647D4—4721no—
1648D4—4721no—
1649D4—4721no—
1650D4—4721no—
1651D4—4721no—
1652D4—4721no—
1653D4—4721no—
1654D4—4721no—
1655D4—4721no—
1656D4—4721no—
1657D4—4721no—
1658D4—4721no—
1659D4—2361no—
1660D4—2361no—
1661D4—2361no—
1662D4—2362no—
1663D4—2362no—
1664D4—2362no—
1665D4—2362no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—591no—
1677C2×C4—591no—
1678C2×C4—591no—
1679C2×C4—591no—
1680C2×C4—591no—
1681C2×C4—591no—
1682C2×C4—1181no—
1683C2×C4—1181no—
1684C2×C4—1181no—
1685C2×C4—1181no—
1686C2×C4—1181no—
1687C2×C4—1181no—
1688C2×C4—1181no—
1689C2×C4—1181no—
1690C2×C4—4721no—
1691C2×C4—4721no—
1692C2×C4—4721no—
1693C2×C4—4721no—
1694C2×C4—4721no—
1695C2×C4—4721no—
1696C2×C4—4721no—
1697C2×C4—4721no—
1698C2×C4—4721no—
1699C2×C4—4721no—
1700C2×C4—4721no—
1701C2×C4—4721no—
1702C2×C4—4721no—
1703C2×C4—4721no—
1704C2×C4—4721no—
1705C2×C4—2361no—
1706C2×C4—2361no—
1707C2×C4—2362no—
1708C2×C4—2362no—
1709C2×C4C2×D4×D5911yescharacteristic
1710C2×C4C2×D4×D5911yescharacteristic
1711C2×C4C2×D4×D5911yescharacteristic
1712C2×C4C2×D4×D5911yescharacteristic
1713C2×C4C2×D4×D5911yescharacteristic
1714C2×C4C24×D5911yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1181no—
1720C8—1181no—
1721C8—1181no—
1722C8—1181no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—1181no—
1733C22—1181no—
1734C22—1182no—
1735C22—1181no—
1736C22—1181no—
1737C22—1181no—
1738C22—1181no—
1739C22—9442no—
1740C22—9442no—
1741C22—4724no—
1742C22—2361no—
1743C22—2361no—
1744C22—2361no—
1745C22—2361no—
1746C22—2361no—
1747C22—2361no—
1748C22—2361no—
1749C22—2361no—
1750C22—2361no—
1751C22—2361no—
1752C22—2361no—
1753C22C22×D4×D5911yescharacteristic
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—21no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—1181no—
1766C4—1181no—
1767C4—1181no—
1768C4—1181no—
1769C4—1181no—
1770C4—1181no—
1771C4—2361no—
1772C4—2361no—
1773C4—2361no—
1774C4—2361no—
1775C4H(5,𝔽2)×D5911yescharacteristic
1776C4#1683823911yescharacteristic
1777C2—41no—
1778C2—81no—
1779C2—81no—
1780C2—4721no—
1781C2—4721no—
1782C2—4721no—
1783C2—2361no—
1784C2—2361no—
1785C2—2362no—
1786C2#2143776011yescharacteristic
1787C2#2143886811yescharacteristic
1788C2#2143887411yescharacteristic
subgroupG/H
centerC22C22×D4×D59
commutator, cosocleC2×C4×C59C25
FrattiniC2×C4C24×D59
FittingC59×#3260C2
socleC22×C59C23×D4
hypercenter#3260D59
hypocenterC59#62027
LCSG ▷ C2×C4×C59 ▷ C2×C59 ▷ C59
UCSC1 ◁ C22 ◁ #117 ◁ #3260

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #21438690C2semidirect
2. #21438034C2semidirect
3. #21437155C2semidirect
4. #21437107C2semidirect
5. #21436852C2semidirect
6. #21436748C2semidirect
7. #21436396C2semidirect
8. #21436361C2semidirect
9. #21436344C2semidirect
10. #21436219C2semidirect
11. #21436063C2semidirect
12. #21435952C2semidirect
13. #21435810C2semidirect
14. #21435711C2semidirect
15. #21435704C2semidirect
16. #21435704C2semidirect
17. #21435618C2semidirect
18. #21435586C2semidirect
19. #21435511C2semidirect
20. #21435496C2semidirect
21. #21435204C2semidirect
22. #21435140C2semidirect
23. #21435071C2semidirect
24. #21434341C2semidirect
25. #21434304C2semidirect
26. #21434148C2semidirect
27. #21433637C2semidirect
28. #21433603C2semidirect
29. #21433561C2semidirect
30. #21433243C2semidirect
31. C59×#3260C2semidirect
35. C2×#14273754C22semidirect
37. C2×SD16×D59C22semidirect
40. #16838138C22semidirect
41. #16838137C22semidirect
42. #16838124C22semidirect
43. #16838108C22semidirect
47. #16838090C22semidirect
53. #16838062C22semidirect
54. #16838054C22semidirect
58. #16838043C22semidirect
59. #16838043C22semidirect
61. #16838037C22semidirect
62. #16838017C22semidirect
64. #16838008C22semidirect
70. #16837977C22semidirect
71. #16837971C22semidirect
72. #16837953C22semidirect
73. #16837937C22semidirect
74. #16837934C22semidirect
79. #16837874C22semidirect
80. C4×D4×D59C22semidirect
81. #16837793C22semidirect
83. #16837783C22semidirect
84. #16837783C22semidirect
85. #16837783C22semidirect
87. #16837768C22semidirect
88. #16837763C22semidirect
89. #16837759C22semidirect
90. #16837758C22semidirect
91. #16837758C22semidirect
92. #16837751C22semidirect
93. #16837739C22semidirect
94. #16837735C22semidirect
95. #16837730C22semidirect
96. #16837729C22semidirect
97. #16837728C22semidirect
98. #16837722C22semidirect
99. #16837708C22semidirect
100. #16837706C22semidirect
101. #16837701C22semidirect
102. #16837699C22semidirect
103. #16837691C22semidirect
104. #16837681C22semidirect
105. #16837661C22semidirect
107. #16837654C22semidirect
108. #16837649C22semidirect
109. #16837649C22semidirect
110. #16837647C22semidirect
112. #16837632C22semidirect
113. #16837625C22semidirect
114. #16837625C22semidirect
115. #16837623C22semidirect
118. #16837620C22semidirect
119. #16837619C22semidirect
120. #16837619C22semidirect
121. #16837619C22semidirect
124. #16837617C22semidirect
125. #16837617C22semidirect
126. #16837616C22semidirect
127. #16837616C22semidirect
128. #16837616C22semidirect
129. #16837609C22semidirect
130. #16837606C22semidirect
131. #16837605C22semidirect
132. #16837604C22semidirect
133. #16837603C22semidirect
134. #16837603C22semidirect
137. #16837597C22semidirect
138. #16837597C22semidirect
139. #16837567C22semidirect
140. #16837567C22semidirect
141. #16837567C22semidirect
144. #16837559C22semidirect
145. #16837554C22semidirect
148. #16837546C22semidirect
149. #16837545C22semidirect
150. #16837545C22semidirect
151. #16837539C22semidirect
154. #16837537C22semidirect
155. #16837535C22semidirect
156. #16837535C22semidirect
157. #16837531C22semidirect
158. #16837526C22semidirect
159. #16837513C22semidirect
160. #16837511C22semidirect
161. #16837507C22semidirect
162. #16837500C22semidirect
163. C4×#11745672C22semidirect
164. #16837493C22semidirect
165. C4×#11745671C22semidirect
166. #16837489C22semidirect
169. #16837482C22semidirect
170. #16837482C22semidirect
171. #16837479C22semidirect
172. #16837478C22semidirect
173. #16837478C22semidirect
174. #16837473C22semidirect
175. #16837472C22semidirect
176. C8×C22⋊D59C22semidirect
177. #16837463C22semidirect
178. #16837462C22semidirect
179. #16837454C22semidirect
180. #16837427C22semidirect
181. #16837424C22semidirect
182. #16837409C22semidirect
183. #16837404C22semidirect
184. #16837402C22semidirect
185. #16837402C22semidirect
186. #16837397C22semidirect
187. C2×#14273649C22semidirect
188. C59×#541C22semidirect
190. C59×#479C22semidirect
191. C59×#479C22semidirect
192. C59×#478C22semidirect
193. C59×#478C22semidirect
194. C59×#468C22semidirect
195. C59×#468C22semidirect
196. C59×#465C22semidirect
197. C59×#465C22semidirect
198. C59×#461C22semidirect
199. C59×#461C22semidirect
200. C59×#460C22semidirect
201. C59×#460C22semidirect
202. C59×#424C22semidirect
901. #3260D59semidirect
957. #541C2×D59semidirect
997. #479C2×D59semidirect
998. #479C2×D59semidirect
1001. #478C2×D59semidirect
1002. #478C2×D59semidirect
1011. #468C2×D59semidirect
1012. #468C2×D59semidirect
1015. #465C2×D59semidirect
1016. #465C2×D59semidirect
1037. #461C2×D59semidirect
1038. #461C2×D59semidirect
1041. #460C2×D59semidirect
1042. #460C2×D59semidirect
1089. #424C2×D59semidirect
1097. C59#62027semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#214386902
#214380342
#214371552
#214371072
#214368522
#214367482
#214363962
#214363612
#214363442
#214362192
#214360632
#214359522
#214358102
#214357112
#214357042
#214356182
#214355862
#214355112
#214354962
#214352042
#214351402
#214350712
#214343412
#214343042
#214341482
#214336372
#214336032
#214335612
#214332432
C59×#32602
#6202759